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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 225 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 5y + 21 = 26. What is y?
  2. 2.Solve: y/4 + 15 = 22. What is y?
  3. 3.Solve: 5p − 9 = 6. What is p?
  4. 4.Solve: n/6 + 2 = 8. What is n?
  5. 5.Solve: 6(y + 6) = 60. What is y?
  6. 6.Solve: x/8 + 18 = 20. What is x?
  7. 7.Solve: 2y − 13 = 3. What is y?
  8. 8.Meera is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  9. 9.Solve: n/8 + 17 = 18. What is n?
  10. 10.Solve: 3t + 23 = 32. What is t?
  11. 11.Solve: 3(n + 6) = 51. What is n?
  12. 12.Solve: p/2 + 14 = 17. What is p?
  13. 13.Solve: 8m + 2 = 58. What is m?
  14. 14.Farhan thinks of a number, multiplies it by 2 and then adds 28. The result is 50. What is the number?
  15. 15.Kabir thinks of a number, multiplies it by 6 and then adds 9. The result is 93. What is the number?
  16. 16.Solve: 3p + 19 = 43. What is p?
  17. 17.Nisha thinks of a number, multiplies it by 2 and then adds 14. The result is 34. What is the number?
  18. 18.Solve: 9y + 6 = 33. What is y?
  19. 19.Solve: x/3 + 16 = 19. What is x?
  20. 20.Solve: 7(t + 9) = 154. What is t?
  21. 21.Sneha thinks of a number, multiplies it by 5 and then adds 21. The result is 91. What is the number?
  22. 22.Solve: 4x + 18 = 42. What is x?
  23. 23.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 44 years. How old is Vivaan?
  24. 24.Meera thinks of a number, multiplies it by 4 and then adds 9. The result is 53. What is the number?
  25. 25.Gurpreet thinks of a number, multiplies it by 5 and then adds 27. The result is 47. What is the number?
  26. 26.Nisha is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  27. 27.Solve: x/5 + 9 = 24. What is x?
  28. 28.Solve: 8m − 16 = 72. What is m?
  29. 29.Riya thinks of a number, multiplies it by 8 and then adds 16. The result is 64. What is the number?
  30. 30.Solve: 8n + 9 = 113. What is n?
  31. 31.Solve: 6(n + 7) = 60. What is n?
  32. 32.Solve: n/8 + 18 = 25. What is n?
  33. 33.Solve: 4m − 23 = 33. What is m?
  34. 34.Solve: 6p − 19 = 23. What is p?
  35. 35.Solve: 2y + 9 = 13. What is y?
  36. 36.Ishaan thinks of a number, multiplies it by 3 and then adds 1. The result is 13. What is the number?
  37. 37.Solve: 9(y + 7) = 72. What is y?
  38. 38.Solve: 9x + 22 = 85. What is x?
  39. 39.Solve: 3y + 29 = 50. What is y?
  40. 40.Gurpreet is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?

Answer key

  1. 1
  2. 28
  3. 3
  4. 36
  5. 4
  6. 16
  7. 8
  8. 10
  9. 8
  10. 3
  11. 11
  12. 6
  13. 7
  14. 11
  15. 14
  16. 8
  17. 10
  18. 3
  19. 9
  20. 13
  21. 14
  22. 6
  23. 11
  24. 11
  25. 4
  26. 9
  27. 75
  28. 11
  29. 6
  30. 13
  31. 3
  32. 56
  33. 14
  34. 7
  35. 2
  36. 4
  37. 1
  38. 7
  39. 7
  40. 7

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